During this time of lockdown, the centre for quantum software and information (QSI) at the University of Technology Sydney has launched an online seminar series. With talks once or twice a week from leading researchers in the field, meQuanics is supporting this series by mirroring the audio from each talk. I would encourage if you listen to this episode, to visit and subscribe to the UTS:QSI YouTube page to see each of these talks with the associated slides to help it make more sense.
https://youtu.be/rOKpLd4X9jE
Finding the ground state of the Hubbard model using hybrid quantum-classical computing.
TITLE: Strategies for solving the Fermi-Hubbard model on near-term quantum computers
SPEAKER: Lana Mineh
AFFILIATION: Quantum Engineering Technology Labs, University of Bristol, UK
HOSTED BY: Prof Michael Bremner, UTS Centre for Quantum Software and Information
ABSTRACT: The Fermi-Hubbard model is of fundamental importance in condensed-matter physics, yet is extremely challenging to solve numerically. Finding the ground state of the Hubbard model using variational methods has been predicted to be one of the first applications of near-term quantum computers. Here we carry out a detailed analysis and optimisation of the complexity of variational quantum algorithms for finding the ground state of the Hubbard model, including costs associated with mapping to a real-world hardware platform. The depth complexities we find are substantially lower than previous work. We performed extensive numerical experiments for systems with up to 12 sites. The results suggest that the variational ansätze we used -- an efficient variant of the Hamiltonian Variational ansatz and a novel generalisation thereof -- will be able to find the ground state of the Hubbard model with high fidelity in relatively low quantum circuit depth. Our experiments include the effect of realistic measurements and depolarising noise. If our numerical results on small lattice sizes are representative of the somewhat larger lattices accessible to near-term quantum hardware, they suggest that optimising over quantum circuits with a gate depth less than a thousand could be sufficient to solve instances of the Hubbard model beyond the capacity of classical exact diagonalisation.
RELATED ARTICLES: Strategies for solving the Fermi-Hubbard model on near-term quantum computers: https://arxiv.org/abs/1912.06007
OTHER LINKS: Quantum Engineering Technology Labs: bristol.ac.uk/qet-labs/
meQuanics - QSI@UTS Seminar Series - S25 - Adrian Chapman (University of Sydney)
meQuanics - QSI@UTS Seminar Series - S24 - Ramis Movassagh (Watson AI Lab)
meQuanics - QSI@UTS Seminar Series - S23 - Lieven Vandersypen (QuTech, U. Delft)
meQuanics - QSI@UTS Seminar Series - S21 - Gerardo Paz Silva (Griffith U)
meQuanics - QSI@UTS Seminar Series - S20 - Nana Liu (SJTU)
meQuanics - QSI@UTS Seminar Series - S19 - Yuval Sanders (University of Technology Sydney)
meQuanics - QSI@UTS Seminar Series - S18 - Chris Ferrie (University of Technology Sydney)
meQuanics - QSI@UTS Seminar Series - S17 - Josh Combes (University of Colorado)
meQuanics - QSI@UTS Seminar Series - S16 - Sergio Boixo (Google)
meQuanics - QSI@UTS Seminar Series - S15 - Chris Granade (Microsoft)
meQuanics - QSI@UTS Seminar Series - S14 - Zhengfeng Ji (University of Technology Sydney)
meQuanics - QSI@UTS Seminar Series - S13 - Tom Stace (University of Queensland)
meQuanics - QSI@UTS Seminar Series - S12 - Chris Jackson, (CQuIC)
meQuanics - QSI@UTS Seminar Series - S11 - Kai-Min Chung (Acedemia Sinica)
meQuanics - QSI@UTS Seminar Series - S10 - Marissa Giustina (Google)
meQuanics - QSI@UTS Seminar Series - S09 - Robin Blume-Kohout & Dr Erik Nielsen (Sandia Labs)
meQuanics - QSI@UTS Seminar Series - S08 - Guillaume Verdon (X)
meQuanics - QSI@UTS Seminar Series - S07 - Daniel Grier (U. Waterloo)
meQuanics - QSI@UTS Seminar Series - S06 - Maria Schuld (Xanadu and U. Kwazulu Natal)
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